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211230240 = 25351333851
BaseRepresentation
bin11001001011100…
…01111000100000
3112201110121102020
430211301320200
5413033331430
632543221440
75143266414
oct1445617040
9481417366
10211230240
11a9263451
125a8a7880
13349b9b10
14200a6d44
1513826b10
hexc971e20

211230240 has 96 divisors (see below), whose sum is σ = 716579136. Its totient is φ = 51993600.

The previous prime is 211230221. The next prime is 211230247. The reversal of 211230240 is 42032112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (211230247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10686 + ... + 23165.

It is an arithmetic number, because the mean of its divisors is an integer number (7464366).

Almost surely, 2211230240 is an apocalyptic number.

211230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211230240 is an abundant number, since it is smaller than the sum of its proper divisors (505348896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211230240 is a wasteful number, since it uses less digits than its factorization.

211230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33882 (or 33874 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 211230240 is about 14533.7620731867. The cubic root of 211230240 is about 595.5506424766.

Adding to 211230240 its reverse (42032112), we get a palindrome (253262352).

The spelling of 211230240 in words is "two hundred eleven million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 33851 67702 101553 135404 169255 203106 270808 338510 406212 440063 507765 541616 677020 812424 880126 1015530 1083232 1320189 1354040 1624848 1760252 2031060 2200315 2640378 2708080 3249696 3520504 4062120 4400630 5280756 5416160 6600945 7041008 8124240 8801260 10561512 13201890 14082016 16248480 17602520 21123024 26403780 35205040 42246048 52807560 70410080 105615120 211230240